Hopf bifurcation and uniqueness of limit cycle for a class of quartic system

被引：1

作者：

Zhan Q. ^{[1
]}

Xie X. ^{[2
]}

Wu C. ^{[3
]}

Qiu S. ^{[4
]}

机构：

[1] Dept. of Comput. and Inform., Fujian Agriculture and Forestry Univ.

[2] Dept. of Math., Ningde Normal College

[3] College of Math. and Comput. Sci., Fuzhou Univ.

[4] Dept. of Math., Gannan Normal College

来源：

Applied Mathematics-A Journal of Chinese Universities | 2007年 / 22卷 / 4期

关键词：

Accompanying system; Bifurcation; Limit cycle; Uniqueness;

D O I：

10.1007/s11766-007-0402-3

中图分类号：

学科分类号：

摘要：

This paper studies a class of quartic system which is more general and realistic than the quartic accompanying system. x' = - y + ex + lx2 + mxy + ny2, y' = x(1 - Ay)(1 + Cy2, where C > 0. Sufficient conditions are obtained for the uniqueness of limit cycle of system (*) and some more in-depth conclusion such as Hopf bifurcation. © Editorial Committee of Applied Mathematics 2007.

引用

页码：388 / 392

页数：4

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